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Mathematics > Optimization and Control

arXiv:1812.06362 (math)
[Submitted on 15 Dec 2018]

Title:Low-rank semidefinite programming for the MAX2SAT problem

Authors:Po-Wei Wang, J. Zico Kolter
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Abstract:This paper proposes a new algorithm for solving MAX2SAT problems based on combining search methods with semidefinite programming approaches. Semidefinite programming techniques are well-known as a theoretical tool for approximating maximum satisfiability problems, but their application has traditionally been very limited by their speed and randomized nature. Our approach overcomes this difficult by using a recent approach to low-rank semidefinite programming, specialized to work in an incremental fashion suitable for use in an exact search algorithm. The method can be used both within complete or incomplete solver, and we demonstrate on a variety of problems from recent competitions. Our experiments show that the approach is faster (sometimes by orders of magnitude) than existing state-of-the-art complete and incomplete solvers, representing a substantial advance in search methods specialized for MAX2SAT problems.
Comments: Accepted at AAAI'19. The code can be found at this https URL
Subjects: Optimization and Control (math.OC); Artificial Intelligence (cs.AI)
Cite as: arXiv:1812.06362 [math.OC]
  (or arXiv:1812.06362v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1812.06362

Submission history

From: Po-Wei Wang [view email]
[v1] Sat, 15 Dec 2018 22:03:04 UTC (168 KB)
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